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Finding the Fourth Proportional to 592,705, 817,945.86 and 324,433

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Solution

The fourth proportional to 592,705, 817,945.86 and 324,433 is: 447,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,705 : 817,945.86 = 324,433 : x
  2. Step 2: Convert to fraction form
    592,705/817,945.86 = 324,433/x
  3. Step 3: Cross multiply
    592,705x = 817,945.86 × 324,433
  4. Step 4: Simplify right side
    592,705x = 265,368,629,197.38
  5. Step 5: Solve for x
    x = 265,368,629,197.38/592,705
  6. Step 6: Final answer
    x = 447,724.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.